Postgraduate Courses

On successful completion of the course, students will be able to:

• 1.
  Apply Cauchy integral formula and residue techniques.
• 2.
  Understand calculus of variations.
• 3.
  Solve ordinary differential equations.
• 4.
  Understand common types of partial differential equations.
• 5.
  Apply Green function and Fourier transform in solving differential equations.
• 6.
  Apply conformal maps to solve differential equations.

On successful completion of the course, students will be able to:

• 1.
  Explain the principles of density-functional theory, including Kohn-Sham equations, band gap discontinuity, exchange-correlation potentials, basis sets, and pseudopotentials.
• 2.
  Explain the Hartree-Fock (HF) method and Koopmans' theory, and describe the basic principles of post-HF methods: Cl, MP2, and CCSD.
• 3.
  Explain the principles of molecular dynamics and identify the relation between classical and quantum molecular dynamics.
• 4.
  Assess the electronic and vibrational properties of molecules or nanostructures using an open-source DFT code.
• 5.
  Assess the band structures and transport properties of crystal materials using an open-source DFT code.

On successful completion of the course, students will be able to:

• 1.
  Derive the electronic band structures of materials with simple lattices.
• 2.
  Calculate phonon band structures.
• 3.
  Calculate the energy of electronic systems using Hatree-Fock approximations.
• 4.
  Formulate the electron responses to external electric and magnetic fields.
• 5.
  Derive the expression of the conductance of Quantum Hall Systems.
• 6.
  Calculate physical properties of superconductors and magnets.

On successful completion of the course, students will be able to:

• 1.
  Understand the concept of electric field flux conservation and Gauss Law.
• 2.
  Apply Gauss law to solve practical electrostatic problems.
• 3.
  Understand Green theorem and the uniqueness theorem.
• 4.
  Apply uniqueness theorem in constructive solutions to boundary value problems.
• 5.
  Apply basis function expansions to solve boundary value problems.
• 6.
  Understand Faraday’s law and the Maxwell equations.

On successful completion of the course, students will be able to:

• 1.
  Undertand the general no-source solution form of the Maxwell equations.
• 2.
  Apply transmission matrix approach to solve multi-layer problems.
• 3.
  Undersand Kramers-Kronig relation and time-domain behavior of the response function.
• 4.
  Understand dipole radiation, scattering, and apply on the related phenomena—blue sky, critical opalescence.
• 5.
  Understand relativity.
• 6.
  Understand Lienart-Wiechert potential and radiation of point charges.

On successful completion of the course, students will be able to:

• 1.
  Explain why one needs to use a set of vectors to describe the state of a system rather than real numbers.
• 2.
  Use the Schrodinger equation to solve some simple problems.
• 3.
  Apply the concepts and principles to understand some phenomena in atomic and condensed matter physics.
• 4.
  Understand of angular momentum and its properties.
• 5.
  Understand of relationships between symmetries, conservations, and degeneracy.
• 6.
  Understand and apply the formulations of perturbation theories and traditional approximation methods.

On successful completion of the course, students will be able to:

• 1.
  Explain how to describe the quantum state of atoms and photons.
• 2.
  Exemplify various quantum control methods.
• 3.
  Analyze how to manipulate atoms and molecules.
• 4.
  Analyze the quantum information processing.
• 5.
  Describe how useful quantum states can be prepared.
• 6.
  Apply the fundamentals to understand the modern research topics in quantum science.

On successful completion of the course, students will be able to:

• 1.
  Explain how the core principles of thermodynamics can be derived from the statistical mechanics of N-particle systems.
• 2.
  Use the basic tools of statistical mechanics (such as the partition function) to predict the macroscopic properties of a system from a given microscopic model.
• 3.
  Apply these tools in conjunction with appropriate approximation techniques to solve problems in a variety of physical systems, including (but not limited to) fluids and interacting assemblies of spins in magnetic fields.
• 4.
  Use the tools of statistical physics to predict the behaviour of systems in the neighbourhood of a phase transition..

On successful completion of the course, students will be able to:

• 1.
  Describe the basic principles for perturbative treatment of a quantum many-body system.
• 2.
  Compute physical properties of certain paradigmatic quantum systems.
• 3.
  Discuss how simplified models of real materials arise.
• 4.
  Identify possible approximate methods for treating an interacting system.
• 5.
  Connect the notion of quantum entanglement with quantum phases of matter.
• 6.
  Apprehend, assimilate, and articulate latest research developments in quantum science.

On successful completion of the course, students will be able to:

• 1.
  Derive the electronic band structures of graphene and transition metal dichalcogenides.
• 2.
  Calculate the energy spectrum of topological insulators.
• 3.
  Calculate the single particle excitation spectrum of topological superconductors.
• 4.
  Formulate the relation between electric and thermal currents in metals.
• 5.
  Calculate the optical and magnetic responses of solids.
• 6.
  Formulate the phenomenological and microscopic theories of superconductivity.

On successful completion of the course, students will be able to:

• 1.
  Recognize the connection between nonrelativistic quantum mechanics and quantum field theory.
• 2.
  Pursue quantization for scalar, spinor and vector fields.
• 3.
  Calculate particle scattering cross section and its decay width using Feynman rules.
• 4.
  Calculate quantum processes in electrodynamics at both tree and loop levels.
• 5.
  Pursue parameter renormalization for a given field theory.
• 6.
  Analyze the evolution of coupling constants and mass parameters in a given field theory.

On successful completion of the course, students will be able to:

• 1.
  Pursue the General Relativity (GR) calculations using the tool of differential geometry.
• 2.
  2. Use GR to study black hole physics.
• 3.
  Use GR to calculate gravitational radiation.
• 4.
  Use GR to analyze the evolution of the universe.

On successful completion of the course, students will be able to:

• 1.
  Apply the fundamental knowledge from Quantum Mechanics and Solid State Physics to explain new physical phenomena and new or improved device operations that low dimensional semiconductor heterostructures can offer.
• 2.
  Explain the basic principles of common experimental methods for structural, electrical and optical characterizations of low dimensional semiconductor heterostructures.
• 3.
  Demonstrate the team work, independent learning, and scientific presentation skills.

On successful completion of the course, students will be able to:

• 1.
  Apply the fundamental knowledge from crystallography and physics to explain the phenomena of high energy electron beams in diffraction and imaging of solid materials.
• 2.
  Explain the basic principles of experimental methods for determining atomic structures, interactions between electrons and solid crystalline materials and application in nanomaterials and nanotechnology.
• 3.
  Demonstrate the independent learning, scientific presentation skills and ability to solve materials science problems.

On successful completion of the course, students will be able to:

• 1.
  Acquire a comprehensive set of discipline-specific professional skills and knowledge for their personal growth and career development.

On successful completion of the course, students will be able to:

• 1.
  Conduct literature review.
• 2.
  Write professional researh paper or report.
• 3.
  Obtain in-depth understanding on a specific research topic in related to physics.
• 4.
  Explain working principles or apply experimental techniques on a research topic related to physics.

On successful completion of the course, students will be able to:

• 1.
  Become an effective teaching assistant (TA) by completing the TA training course.
• 2.
  Work safely in the research lab after completed the Safety Orientation and Laboratory Safety Training course.
• 3.
  Improve skills on research management, communication and manuscript preparation.
• 4.
  Good knowledge in some latest and leading physics research works beyond his/her area of specialization.
• 5.
  Have a high standard on research integrity and ethnics.

On successful completion of the course, students will be able to:

• 1.
  Demonstrate the basic skills for research management.
• 2.
  Apply basic knowledge for teaching.
• 3.
  Demonstrate the basic skills for planning career development.
• 4.
  Apply knowledge in entrepreneurship and innovation.

On successful completion of the course, students will be able to:

• 1.
  Explain working principles and fundamental concepts of an advanced topic in offering.
• 2.
  Apply the working principles to solve typical phsyics problems in the special topic.
• 3.
  Obtain knowledge beyond normal courses in offering, typically in a more advanced research topic or about a technique.

On successful completion of the course, students will be able to:

• 1.
  Explain working principles and fundamental concepts of an advanced topic in offering.
• 2.
  Apply the working principles to solve typical phsyics problems in the special topic.
• 3.
  Obtain knowledge beyond normal courses in offering, typically in a more advanced research topic or about a technique.

On successful completion of the course, students will be able to:

• 1.
  Demonstrate research contriutions in form of a thesis.
• 2.
  Demonstrate research achievements, on knowledge in advanceing a research field related to physics, in the form of thesis.
• 3.
  Defend the research achievements and contributions through seminar or oral examination.

On successful completion of the course, students will be able to:

• 1.
  Demonstrate research contriutions in form of a thesis.
• 2.
  Demonstrate original research achievements with impact on a research field related to physics, in the form of thesis.
• 3.
  Defend the research achievements and contributions through seminar or oral examination.